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CR MANIFOLDS OF ARBITRARY CODIMENSION WITH A CONTRACTION

김성연
한국수학교육학회|2010.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제2호|pp. 157-165

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참고문헌

키워드

contractionCR manifoldCR map
주제분류수학

초록

Let (M; p) be a germ of a C∞ CR manifold of CR dimension n and CR codimension d. Suppose (M; p) admits a C∞ contraction at p. In this paper, we show that (M; p) is CR equivalent to a generic submanifold in Cn+d defined by a vector valued weighted homogeneous polynomial.

Abstract

Let (M; p) be a germ of a C∞ CR manifold of CR dimension n and CR codimension d. Suppose (M; p) admits a C∞ contraction at p. In this paper, we show that (M; p) is CR equivalent to a generic submanifold in Cn+d defined by a vector valued weighted homogeneous polynomial.

참고문헌 (13)

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  3. F. Berteloot, "Methodes de changement d'echelles en analyse complexe. A draft for lec- tures at C.I.R.M" (2003), Luminy
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  8. S. Kobayashi, "Grundlehren der Mathematischen Wis- senschaften. in: Hyperbolic complex spaces", pp.318~ (1998), Springer-Verlag
  9. S.G. Krantz, "Function theory of several complex variables" (1992), AMS Chelsea, Amer. Math. Soc
  10. J.P. Rosay, "Sur une caracterisation de la boule parmi les domaines de Cn par son groupe d'automorphismes", Ann. Inst. Fourier (Grenoble), 29(4), pp.91~97 (1979)
  11. N. Tanaka, "On the pseudoconformal geometry of hypersurfaces of the space of n complex variables", J. Math. Soc. Japan, 14, pp.397~429 (1962)
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